Finding the Third Proportional to 825,729 and 1,162,776

Step by Step Solution

1. Step 1: Write the proportion equation
   825,729 : 1,162,776 = 1,162,776 : x
2. Step 2: Convert to fraction form
   825,729/1,162,776 = 1,162,776/x
3. Step 3: Cross multiply
   825,729x = 1,162,776 × 1,162,776
4. Step 4: Simplify right side
   825,729x = 1,352,048,026,176
5. Step 5: Solve for x
   x = 1,352,048,026,176/825,729
6. Step 6: Final answer
   x = 1,637,399.23